Mathlib Map

Theorems · Definition · ring theory

NonUnitalRingHomClass.toNonUnitalRingHom

{F : Type u_1} →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : NonUnitalNonAssocSemiring α] →
        [inst_1 : NonUnitalNonAssocSemiring β] → [inst_2 : FunLike F α β] → [NonUnitalRingHomClass F α β] → F → α →ₙ+* β

Turn an element of a type F satisfying NonUnitalRingHomClass F α β into an actual NonUnitalRingHom. This is declared as the default coercion from F to α →ₙ+* β.

Defined in
Mathlib.Algebra.Ring.Hom.Defs
Cited by
26 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringFunLikeNonUnitalRingHomClass

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NonUnitalSubalgebra.map · cited by 23NonUnitalSubalgebra.mapNonUnitalRingHom.srange · cited by 17NonUnitalRingHom.srangeNonUnitalAlgHom.range · cited by 12NonUnitalAlgHom.rangeNonUnitalAlgHomClass.toNonUnitalAlgHom · cited by 9NonUnitalAlgHomClass.toNo…NonUnitalSubalgebra.comap · cited by 5NonUnitalSubalgebra.comapNonUnitalAlgHom.restrictScalars · cited by 4NonUnitalAlgHom.restrictS…NonUnitalAlgHom.codRestrict · cited by 3NonUnitalAlgHom.codRestri…DirectLimit.NonUnitalAlgebra.lift · cited by 3NonUnitalAlgebra.liftrange_cfcₙ_eq_range_cfcₙHom · cited by 2range_cfcₙ_eq_range_cfcₙH…NonUnitalAlgHomClass.toNonUnitalAlgSemiHom · cited by 1NonUnitalAlgHomClass.toNo…NonUnitalSubsemiring.map_equiv_eq_comap_symm · cited by 1NonUnitalSubsemiring.map_…NonUnitalStarRingHomClass.toNonUnitalStarRingHom · cited by 1NonUnitalStarRingHomClass…Unitization.starLift_range_le · cited by 1Unitization.starLift_rang…NonUnitalSubsemiring.map_map · cited by 1NonUnitalSubsemiring.map_…NonUnitalSubring.map_equiv_eq_comap_symm · cited by 1NonUnitalSubring.map_equi…AddMonoidHom · cited by 3230AddMonoidHomFunLike · cited by 2560FunLikeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringMulHom · cited by 299MulHomAddMonoidHomClass.toAddMonoidHom · cited by 232AddMonoidHomClass.toAddMo…NonUnitalRingHom · cited by 157NonUnitalRingHomNonUnitalRingHomClass · cited by 82NonUnitalRingHomClassMulHomClass.toMulHom · cited by 31MulHomClass.toMulHomNonUnitalRingHomClass.toNonUn…CITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by36

Results whose statement or proof uses this declaration.